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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 496 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 7(m + 4) = 49. What is m?
  2. 2.Solve: 3p − 11 = 1. What is p?
  3. 3.Pooja thinks of a number, multiplies it by 5 and then adds 14. The result is 64. What is the number?
  4. 4.Solve: 5y − 4 = 21. What is y?
  5. 5.Nisha is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  6. 6.Kavya’s mother is three times as old as Kavya. Their ages add up to 48 years. How old is Kavya?
  7. 7.Solve: p/5 + 2 = 10. What is p?
  8. 8.Solve: 7y − 18 = 73. What is y?
  9. 9.Solve: 6m + 25 = 115. What is m?
  10. 10.Solve: 4(t + 4) = 72. What is t?
  11. 11.Solve: 6x + 12 = 36. What is x?
  12. 12.Solve: 3n + 18 = 24. What is n?
  13. 13.Solve: 6(y + 6) = 120. What is y?
  14. 14.Lakshmi is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  15. 15.Solve: 7p + 25 = 116. What is p?
  16. 16.Solve: y/3 + 11 = 15. What is y?
  17. 17.Solve: 6(p + 7) = 90. What is p?
  18. 18.Solve: 8p − 84 = 12. What is p?
  19. 19.Solve: 8x − 5 = 75. What is x?
  20. 20.Meera is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Meera thinks of a number, multiplies it by 6 and then adds 15. The result is 33. What is the number?
  22. 22.Vivaan is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  23. 23.Solve: 3(n + 2) = 51. What is n?
  24. 24.Solve: 6(n + 4) = 90. What is n?
  25. 25.Solve: 4t + 23 = 51. What is t?
  26. 26.Solve: n/5 + 2 = 8. What is n?
  27. 27.Solve: 9(n + 1) = 108. What is n?
  28. 28.Solve: x/4 + 2 = 7. What is x?
  29. 29.Solve: 8n − 13 = 51. What is n?
  30. 30.Solve: 7y − 20 = 43. What is y?
  31. 31.Solve: y/5 + 10 = 13. What is y?
  32. 32.Aditya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  33. 33.Pooja thinks of a number, multiplies it by 5 and then adds 21. The result is 61. What is the number?
  34. 34.Joseph’s mother is four times as old as Joseph. Their ages add up to 75 years. How old is Joseph?
  35. 35.Riya thinks of a number, multiplies it by 6 and then adds 21. The result is 51. What is the number?
  36. 36.Vivaan thinks of a number, multiplies it by 8 and then adds 7. The result is 15. What is the number?
  37. 37.Solve: 4y + 1 = 13. What is y?
  38. 38.Solve: 6x + 8 = 14. What is x?
  39. 39.Solve: 3y + 13 = 40. What is y?
  40. 40.Solve: 8m − 5 = 3. What is m?

Answer key

  1. 3
  2. 4
  3. 10
  4. 5
  5. 7
  6. 12
  7. 40
  8. 13
  9. 15
  10. 14
  11. 4
  12. 2
  13. 14
  14. 15
  15. 13
  16. 12
  17. 8
  18. 12
  19. 10
  20. 6
  21. 3
  22. 6
  23. 15
  24. 11
  25. 7
  26. 30
  27. 11
  28. 20
  29. 8
  30. 9
  31. 15
  32. 8
  33. 8
  34. 15
  35. 5
  36. 1
  37. 3
  38. 1
  39. 9
  40. 1

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